An Analogue of the Jacobson-Morozov Theorem for Lie Algebras of Reductive Groups of Good Characteristics

DOI10.2307/2154764zbMath0865.17015OpenAlexW4249545888MaRDI QIDQ4875735

Alexander Premet

Publication date: 13 July 1997

Full work available at URL: https://doi.org/10.2307/2154764

zbMATH Keywords

conjugacy classesreductive groupsrestricted Lie algebrasnilpotent orbitsparabolic groupsDynkin tori

Mathematics Subject Classification ID

Representations of Lie algebras and Lie superalgebras, algebraic theory (weights) (17B10) Representation theory for linear algebraic groups (20G05) Lie algebras of linear algebraic groups (17B45) Modular Lie (super)algebras (17B50)

Related Items

Maximal subalgebras of Cartan type in the exceptional Lie algebras, Irreducible representations of Lie algebras of reductive groups and the Kac-Weisfeiler conjecture, Cocharacter-closure and the rational Hilbert-Mumford theorem, Subgroup growth in some profinite Chevalley groups, On Cocharacters Associated to Nilpotent Elements of Reductive Groups, Nilpotent commuting varieties of reductive Lie algebras, Block representation type of reduced enveloping algebras, Abelian unipotent subgroups of reductive groups, Classification of the maximal subalgebras of exceptional Lie algebras over fields of good characteristic, Modular representations of simple Lie algebras, Special transverse slices and their enveloping algebras, Nilpotent orbits in good characteristic and the Kempf-Rousseau theory

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